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Finding the Fourth Proportional to 447,295.72, 617,282.24 and 256,369

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Solution

The fourth proportional to 447,295.72, 617,282.24 and 256,369 is: 353,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,295.72 : 617,282.24 = 256,369 : x
  2. Step 2: Convert to fraction form
    447,295.72/617,282.24 = 256,369/x
  3. Step 3: Cross multiply
    447,295.72x = 617,282.24 × 256,369
  4. Step 4: Simplify right side
    447,295.72x = 158,252,030,586.56
  5. Step 5: Solve for x
    x = 158,252,030,586.56/447,295.72
  6. Step 6: Final answer
    x = 353,797.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.